$ time perl  multisets.pl
count = 1
0,
2,
3,
count = 2
0, 0,
0, 2,
0, 3,
2, 2,
2, 3,
3, 3,
count = 3
0, 0, 0,
0, 0, 2,
0, 0, 3,
0, 2, 2,
0, 2, 3,
0, 3, 3,
2, 2, 2,
2, 2, 3,
2, 3, 3,
3, 3, 3,
count = 4
0, 0, 0, 0,
0, 0, 0, 2,
0, 0, 0, 3,
0, 0, 2, 2,
0, 0, 2, 3,
0, 0, 3, 3,
0, 2, 2, 2,
0, 2, 2, 3,
0, 2, 3, 3,
0, 3, 3, 3,
2, 2, 2, 2,
2, 2, 2, 3,
2, 2, 3, 3,
2, 3, 3, 3,
3, 3, 3, 3,
count = 7
0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 2,
0, 0, 0, 0, 0, 0, 3,
0, 0, 0, 0, 0, 2, 2,
. . . (abbreviated)
2, 2, 2, 3, 3, 3, 3, 3,
2, 2, 3, 3, 3, 3, 3, 3,
2, 3, 3, 3, 3, 3, 3, 3,
3, 3, 3, 3, 3, 3, 3, 3,

real    0m0.048s
user    0m0.015s
sys     0m0.000s